A manufacturing company spends $1200 each day on plant costs plus $7 per item for labor and materials. The items sell for $23 each. How many items must the company sell in one day to equal its daily costs?

Company must sell 75 items to match the daily costs.

Step-by-step explanation:

Let be the number of items the company must sell to match the daily costs.

Money spent each day on plant =

Money spent on labor and materials on each item =

Money spent on labor and materials on items =

Total money spent or total cost =

Sales price for 1 item =

Sales price for items =

Equating the equation (1) and (2) so that the company can match the daily costs with sales price:

Company must sell 75 items to match the daily costs.

step-by-step explanation:

divide, then simplify your answer.

1. make -15.66 ÷   5.8 a fraction. then divide.

2. simplify.  

3. final answer.  

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c